Algebraic \(K\)-theory and locally convex algebras

DOI10.1007/s00208-005-0722-7zbMath1095.19003arXivmath/0503417OpenAlexW2115781080WikidataQ61677708 ScholiaQ61677708MaRDI QIDQ818551

Joachim Cuntz, Andreas Thom

Publication date: 21 March 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503417

zbMATH Keywords

operator idealslocally convex algebradiffotopy invariance

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (K)-theory and operator algebras (19K99) Noncommutative geometry (à la Connes) (58B34) Homological algebra in category theory, derived categories and functors (18G99) Topological algebras, normed rings and algebras, Banach algebras (46H99) Methods of category theory in functional analysis (46M99)

Related Items

Some \(C^\ast\)-algebras which are coronas of non-\(C^\ast\)-Banach algebras, Homotopy theory of associative rings, Six-term exact sequences for smooth generalized crossed products, Smooth \(K\)-groups for monoid algebras and \(K\)-regularity, Universal bivariant algebraic \(K\)-theories, Bivariant algebraic K-theory, Countable degree-1 saturation of certain \(C^*\)-algebras which are coronas of Banach algebras, Algebraic v. Topological K-Theory: A Friendly Match, The Novikov conjecture for algebraic K-theory of the group algebra over the ring of Schatten class operators, Universal cycles and homological invariants of locally convex algebras, Comparison between algebraic and topological \(K\)-theory of locally convex algebras, Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\), Bivariant \(K\)-theory of generalized Weyl algebras, SMOOTH K-THEORY OF LOCALLY CONVEX ALGEBRAS, Noncommutative stable homotopy and stable infinity categories, Rough index theory on spaces of polynomial growth and contractibility, kk-theory for Banach algebras. I: The non-equivariant case

Cites Work

• Algebraic \(K\)-theory of stable \(C^*\)-algebras
• A new look at KK-theory
• Simple \(C^*\)-algebras generated by isometries
• Bivariant \(K\)-theory for locally convex algebras and the Chern-Connes character
• Commutator structure of operator ideals
• Completeness of certain function spaces
• Comparison between algebraic and topological \(K\)-theory of locally convex algebras
• Bivariant \(K\)-theory and the Weyl algebra
• On commutators in ideals of compact operators
• Excision in algebraic \(K\)-theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item